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Finding the Third Proportional to 3,322.27 and 6,805.90

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Solution

The third proportional to 3,322.27 and 6,805.90 is: 13,942.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.27 : 6,805.90 = 6,805.90 : x
  2. Step 2: Convert to fraction form
    3,322.27/6,805.90 = 6,805.90/x
  3. Step 3: Cross multiply
    3,322.27x = 6,805.90 × 6,805.90
  4. Step 4: Simplify right side
    3,322.27x = 46,320,253.54
  5. Step 5: Solve for x
    x = 46,320,253.54/3,322.27
  6. Step 6: Final answer
    x = 13,942.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.